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Finding the Fourth Proportional to 52,273, 78,418.14 and 15,345.64

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Solution

The fourth proportional to 52,273, 78,418.14 and 15,345.64 is: 23,021.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,273 : 78,418.14 = 15,345.64 : x
  2. Step 2: Convert to fraction form
    52,273/78,418.14 = 15,345.64/x
  3. Step 3: Cross multiply
    52,273x = 78,418.14 × 15,345.64
  4. Step 4: Simplify right side
    52,273x = 1,203,376,545.91
  5. Step 5: Solve for x
    x = 1,203,376,545.91/52,273
  6. Step 6: Final answer
    x = 23,021.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.